Question

The electrolyte in lead storage battery is dilute sulphuric acid. The concentration of sulphuric acid in a lead-storage battery must be between 4.8 M and 5.3 M for most efficient functioning: A 5 mL sulphuric acid sample of a particular battery requires 50 mL of 1.0 M NaOH for complete neutralization. Which of the following statements about the functioning of battery is the, most appropriate?

• A. The acid concentration in the battery is not in the most effective range
• B. The acid concentration in the battery is in the most effective range
• C. The add concentration in the battery is hardly in the most effective range
• D. Only a good mechanic can tell whether or not the acid concentration in the battery is in the most effective range

Answer 1

The correct option is B The acid concentration in the battery is in the most effective range

Volume of sample of sulphuric taken $=5mL$

Volume of $NaOH$ required for neutralisation $=50mL$

Normality of $NaOH$, required for neutralisation $=1.0M=1.0N$

[Note : n-factor of $NaOH$ is 1 and $H_{2}S{O}_4$ is 2]

Normality of sample of sulphuric acid $=?$

$\because n_{eq}=N_1{V}_1=N_2{V}_2$

$N_1=\frac{1.0\times 50}{5}=10N$

$\therefore Molarity=\frac{normality}{n-factor}=\frac{10}{2}=5M$

Thus, the acid concentration in lead storage battery is in the most effective range between 4.8 to 5.3 M.